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Finding the Fourth Proportional to 321,943.96, 444,192.64 and 201,207.90

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Solution

The fourth proportional to 321,943.96, 444,192.64 and 201,207.90 is: 277,610.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,943.96 : 444,192.64 = 201,207.90 : x
  2. Step 2: Convert to fraction form
    321,943.96/444,192.64 = 201,207.90/x
  3. Step 3: Cross multiply
    321,943.96x = 444,192.64 × 201,207.90
  4. Step 4: Simplify right side
    321,943.96x = 89,375,068,289.86
  5. Step 5: Solve for x
    x = 89,375,068,289.86/321,943.96
  6. Step 6: Final answer
    x = 277,610.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.